Question: Refer to the data in Question #1.

a) From the list of percentages, calculate the mean and median. [2 marks]

b) From the list of percentages, calculate the range, the interquartile range,

and the standard deviation. [5 marks]

c) Construct a five-number summary, and a boxplot. [3 marks]

d) From the histogram estimate the distribution’s mode, and its full width at

half-maximum (FWHM). [3 marks]

e) Remove any possibly “extreme” percentages, and recalculate the mean, median, IQR, FWHM, and standard deviation. Which, if any, percentages did you drop? Briefly explain why. [5 marks]

f) Is the FWHM in (e) approximately equal to 2.5 times the truncated standard deviation in (e)? [1 mark]

g) Is the truncated standard deviation in (e) between IQR and ½ IQR? Is the

truncated standard deviation approximately equal to ¾ IQR? [1 mark]